Counterexamples in intersections for C*-tensor products

Counterexamples in intersections for C*-tensor products
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C* 张量积交集的反例

DOI:
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发表时间:
1984
影响因子:
0.7
通讯作者:
Seung
Seung
中科院分区:
数学3区
文献类型:
--
作者:
Seung

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设A和B是C*-代数,A ∈ B表示A和B的最小C*-张量积. T. Huruya [1]给出了C*-张量积A <$B与C*-子代数A1 <$B2和A2 <$B2使得严格包含的例子,回答了S的一个问题.瓦瑟曼[3,备注23]。在这篇短文中,我们证明了即使A1 = A2,也会发生同样的情况。
Let A and B be C*-algebras and A ⊗ B denote the minimal C*-tensor product of A and B. T. Huruya [1] gave examples of C*-tensor products A ⊗ B with C*-subalgebras A1⊗B2 and A2⊗B2 such that strictly contains , answering a question of S. Wassermann [3, Remark 23]. In this short note, we show that the same situation can occur even if A1 = A2